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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A337350 a(n) is the number of lattice paths from (0,0) to (2n,2n) using only the steps (1,0) and (0,1) and which do not touch any other points of the form (2k,2k).

Table of values

n a(n)
0 1
1 6
2 34
3 300
4 3146
5 36244
6 443156
7 5646040
8 74137050
9 996217860
10 13633173180
11 189347631720
12 2662142601924
13 37815138677960
14 541882155414376
15 7823955368697776
16 113712609033955834
17 1662288563798703204
18 24424940365489658540
19 360537080085493670856

List of values

[1, 6, 34, 300, 3146, 36244, 443156, 5646040, 74137050, 996217860, 13633173180, 189347631720, 2662142601924, 37815138677960, 541882155414376, 7823955368697776, 113712609033955834, 1662288563798703204, 24424940365489658540, 360537080085493670856]